The proportion of students at a college who have GPA higher than 3.5 is 19%. a) You take repeated random samples of size 25 from that college and find the proportion of
students who have GPA higher than 3.5 for each sample. What is the mean and the standard
error of the sampling distribution of the sample proportions? [10]
b) You take repeated random samples of size 50 from that college and find the proportion of
students who have GPA higher than 3.5 for each sample. What is the mean and the standard
error of the sampling distribution of the sample proportions? [10]
c) Compare the results of parts a and b, and sketch the sampling distributions. [5]